In this survey paper we present some recent results in the iteration theory. Mainly, we focus
on the problems concerning real iteration groups (flows) and semigroups (semiflows) such …

It has been treated as a difficult problem to find iterative roots of non-monotonic functions.
For some PM functions which do not increase the number of forts under iteration a method …

It is known that any PM function of nonmonotonicity height> 1 has no continuous iterative
roots of an order n being greater than the number of forts of the function, from which there …

An iterative square root of a self-map f is a self-map g such that. We obtain new
characterizations for detecting the non-existence of such square roots for self-maps on …

As a weak version of embedding flow, the problem of iterative roots is studied extensively in
one dimension, especially in monotone case. There are few results in high dimensions …

We present a method for finding continuous (and consequently homeomorphic) orientation
preserving iterative roots of a Brouwer homeomorphism which is embeddable in a flow. To …

Stability of iterative roots is important in the numerical computation of iterative roots. Known
results show that under some conditions iterative roots of strictly monotonic self-mappings …

摘要迭代根问题是动力系统嵌入流问题的弱问题, 是动态插值方法的基础. 然而,
即使是对一维映射, 迭代根的非单调性和全局光滑性都是困难的问题. 本文介绍这方面的若干新 …

This paper gives a purely set-theoretical extension theorem on iterative roots, which
generalizes the results about PM functions by Zhang and his collaborators. Applying this …

In this paper, we investigate iterative roots of strictly monotone upper semi-continuous
multifunctions having finitely many jumps. Known results are concerning roots of order 2 for …